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Finding the Fourth Proportional to 524,000.40, 785,482.20 and 257,542.80

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Solution

The fourth proportional to 524,000.40, 785,482.20 and 257,542.80 is: 386,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,000.40 : 785,482.20 = 257,542.80 : x
  2. Step 2: Convert to fraction form
    524,000.40/785,482.20 = 257,542.80/x
  3. Step 3: Cross multiply
    524,000.40x = 785,482.20 × 257,542.80
  4. Step 4: Simplify right side
    524,000.40x = 202,295,285,138.16
  5. Step 5: Solve for x
    x = 202,295,285,138.16/524,000.40
  6. Step 6: Final answer
    x = 386,059.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.